Higher-derivative supergravity, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$
Nikolay Bobev (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium); Anthony Charles (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium); Dongmin Gang (Asia Pacific Center for Theoretical Physics (APCTP), Pohang, 37673, Korea, Department of Physics, Pohang University of Science and Technology (POSTECH), Pohang, 37673, Korea, Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Seoul, 08826, Korea); Kiril Hristov (INRNE, Bulgarian Academy of Sciences, Tsarigradsko Chaussee 72, Sofia, 1784, Bulgaria, Faculty of Physics, Sofia University, J. Bourchier Blvd. 5, Sofia, 1164, Bulgaria); Valentin Reys (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium)
We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$ . Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-N expansion of supersymmetric partition functions for an infinite class of three-dimensional $$ \mathcal{N} $$ = 2 SCFTs of class $$ \mathrm{\mathcal{R}} $$ . We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS4 black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.